We present some results on the harmonious colorings of the Levi graph of a 2-design, focusing on Steiner 2-designs. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is, designs such that this lower bound is attained.
Banff designs: difference methods for coloring incidence graphs / Buratti, M.; Merola, F.; Nakic, A.; Rubio-Montiel, C.. - In: THE ART OF DISCRETE AND APPLIED MATHEMATICS. - ISSN 2590-9770. - 8:3(2025). [10.26493/2590-9770.1739.91c]
Banff designs: difference methods for coloring incidence graphs
Buratti M.Primo
Writing – Original Draft Preparation
;Nakic A.Writing – Original Draft Preparation
;
2025
Abstract
We present some results on the harmonious colorings of the Levi graph of a 2-design, focusing on Steiner 2-designs. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is, designs such that this lower bound is attained.File allegati a questo prodotto
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